Mathematics

Mathematics

Problem

Kane plays 3 matches in a darts challenge, alternating between Penny and Quentin as his opponents.Kane must win 2 matches in a row to win the challenge.Kane is allowed to choose whether he plays against Penny - Quentin - Penny, or against Quentin - Penny - Quentin. He knows that Penny is the better darts player.Which strategy should Kane use to maximise his chances of winning the challenge? Justify your answer.

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